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Finding the Fourth Proportional to 277.98, 383.64 and 179.66

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Solution

The fourth proportional to 277.98, 383.64 and 179.66 is: 247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.98 : 383.64 = 179.66 : x
  2. Step 2: Convert to fraction form
    277.98/383.64 = 179.66/x
  3. Step 3: Cross multiply
    277.98x = 383.64 × 179.66
  4. Step 4: Simplify right side
    277.98x = 68,925.72
  5. Step 5: Solve for x
    x = 68,925.72/277.98
  6. Step 6: Final answer
    x = 247.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.